Abstract: A non-linear beam tracing technique that supports full non-linear beam tracing effects including multiple reflections and refractions for computer graphics applications. The technique introduces non-linear beam tracing to render non-linear ray tracing effects such as curved mirror reflection, refraction, caustics, and shadows. Beams are allowed to be non-linear where rays within the same beam are not parallel or do not intersect at a single point. Such is the case when a primary beam bounces off of a surface and spawns one or more secondary rays or beams. Secondary beams can be rendered in a similar manner to primary rays or beams via polygon streaming. Beyond smooth ray bundles, the technique can also be applied to incoherent ray bundles which is useful for rendering bump mapped surfaces.

Abstract: An electronic device enclosure includes an enclosure for receiving a water-cooled heat exchanger and a water collecting device. The water collecting device is received in the enclosure and includes a water collecting member and a guiding pipe attached to the water collecting member. The water collecting member includes a tray, a first guiding portion located in the tray and a second guiding portion adjacent to the first guiding portion. The first guiding portion includes a first slanted edge, and the second guiding portion includes a second slanted edge. The guiding pipe is located between the first slanted edge and the second slanted edge, and the first slanted edge and the second slanted edge are together slanted towards the guiding pipe, for guiding dew generated by the water-cooled heat exchanger to flow into the guiding pipe.

Abstract: An electronic device enclosure includes an enclosure and a strengthening device. The enclosure includes a bottom plate. The strengthening device includes a first strengthening member and a second strengthening member. The second strengthening member includes a receiving portion engaged with the receiving portion. The first strengthening member is attached to the bottom plate in a first direction; and the second strengthening member is attached to the bottom plate in a second direction that intersected with the first direction.

Abstract: A connecting member includes a cable, an enclosure, a shaft assembly member and an elastic member. The cable surrounds the shaft assembly member. The shaft assembly member is rotatablely mounted in the enclosure. The elastic member includes a first end and a second end. The first end is secured to the shaft member, and the second end is secured to the enclosure.

Abstract: A baseband pool device includes a control unit, and multiple baseband processing units which are connected one another. The control unit is configured to determine one or more baseband processing units participating in data processing according to a size of data received by the baseband pool device and baseband data processing capabilities of various baseband processing units, and allocate an identifier of the baseband data to be processed to each baseband processing unit participating in the data processing to construct a data allocation relationship, and respectively transmit the data allocation relationship to the baseband processing units participating in the data processing. The baseband processing units receive the data allocation relationship and process the received data according to the data allocation relationship, or transmit the received data to other baseband processing units of the baseband pool device, or receive data processed and then forwarded by other baseband processing units.

Abstract: A data storage device assembly includes a rack, a mounting member, and a handle. The rack has a data storage device mounted therein. The mounting member is secured on the rack. The mounting member defines a receiving room. A clamp is slidably received in the receiving room. The clamp includes two spaced elastic claws. The handle is pivotally mounted on the mounting member. The handle includes a clasp. The handle is rotatable on the mounting member between a first position and a second position. In the first position, the clamp is located in the receiving room, the two spaced elastic claws are restricted by edges of the receiving room, and the clasp is fastened between the two elastic claws. In the second position, the clamp is located out of the receiving room, and the clasp is not fastened between the two elastic claws.

Abstract: An electronic device includes a base, a button module with a button movably received in the base from a lateral side of the base, a sliding block slidably mounted in the base, and an elastic positioning member. The sliding block defines a first securing slot and a second securing slot. The elastic positioning member is capable of engaging in the first securing slot to restrict the sliding block in a first position where the button module is received in the base, and is capable of engaging in the second securing slot to restrict the sliding block in a second position where the button module extends out of the base.

Abstract: Techniques for providing arbitrary precision floating number (APFN) processing are disclosed. In some aspects, an APFN store may be used to store a large number (i.e., an APFN) having many significant digits, which in turn may enable a high degree of precision in mathematical operations. An APFN module may be used to create and define the APFN store. The APFN module may enable a user to define a precision (significant digits) for the large number that corresponds to the size of an array of bytes in the APFN store that are allocated for storing the large number. In further aspects, the APFN store may be used to store additional intermediary data and a resultant.

Abstract: A phase shift control method for a boost converter and circuit implementation comprises a master phase and at least one slave phase. A master-phase inductor current flowing through the master phase has a master-phase charge time interval and a master-phase discharge time interval; a slave-phase inductor current flowing through the slave phase has a slave-phase charge time interval and a slave-phase discharge time interval. The method comprises: calculating an ideal switching timing whereat the slave-phase inductor current descends to a zero-current judgment value; obtaining a physical switching timing whereat the slave-phase charge time interval starts; calculating a conduction timing error between the physical switching timing and the ideal switching timing; determining the time length of the slave-phase charge time interval in the same cycle according to the conduction timing error and the master-phase charge time interval.

Abstract: An input polynomial, in symbolic form, is received, classified, pre-processed, and factored. The input polynomial is classified as a constant, a univariate polynomial, or a multivariate polynomial. Various pre-processing is performed depending on the classification. After the input polynomial is pre-processed, the remaining polynomial is factored using a polynomial factoring algorithm. By pre-processing the input polynomial, the complexity of the polynomial to be factored is reduced, which reduces the computational expense of the polynomial factoring algorithm.

Abstract: A hybrid greatest common divisor (GCD) calculator analyzes characteristics of polynomials and selects a particular GCD algorithm from multiple available GCD algorithms based on a combination of characteristics of the polynomials. The selected GCD algorithm is then applied to calculate the GCD of the polynomials.

Abstract: Data having express or implied relationships may be displayed by selecting a starting entity in a data structure, building a relationship tree, and building and optimizing a relationship matrix based on the relationship tree. The optimized relationship matrix may be used to layout and render a graphical image that positions various elements with respect to the starting entity based on the relationships. The distance matrix may be optimized by creating a first distance matrix based on the relationship tree, developing a dissimilarity matrix based on expressed or implied relationships, and multiplying the dissimilarity matrix by a weighting factor to determine a distance matrix that may be optimized by multi-dimensional scaling. An optimized weighting factor may be determined and used to select an optimized distance matrix.

Abstract: A magnetic suspension electric rotor flying saucer comprises: a saucer shell (1), a saucer cabin (2), a rotor system (3), and a control system (4). The rotor wing system is a magnetic suspension electric rotor wing system (3) composed of a magnetic suspension rotor wing wheel (5), an electrodynamic ring (6), a magnetic suspension shaft (7) and magnetic suspension lead rails (8). The electrodynamic ring (6), the magnetic suspension shaft (7) and the magnetic suspension lead rails (8) are fixed on the saucer shell (1). The magnetic suspension rotor wing wheel (5) is suspended in space limited by the electrodynamic ring (6), the magnetic suspension shaft (7) and the magnetic suspension lead rails (8) and rotates around the magnetic suspension shaft (7) by the electromagnetic thrust.

Abstract: A connecting member includes a cable, an enclosure, a shaft assembly member and an elastic member. The cable surrounds the shaft assembly member. The shaft assembly member is rotatablely mounted in the enclosure. The elastic member includes a first end and a second end. The first end is secured to the shaft member, and the second end is secured to the enclosure.

Abstract: A data storage device assembly includes a rack, a mounting member, and a handle. The rack has a data storage device mounted therein. The mounting member is secured on the rack. The mounting member defines a receiving room. A clamp is slidably received in the receiving room. The clamp includes two spaced elastic claws. The handle is pivotally mounted on the mounting member. The handle includes a clasp. The handle is rotatable on the mounting member between a first position and a second position. In the first position, the clamp is located in the receiving room, the two spaced elastic claws are restricted by edges of the receiving room, and the clasp is fastened between the two elastic claws. In the second position, the clamp is located out of the receiving room, and the clasp is not fastened between the two elastic claws.

Abstract: The invention provides a roll profile for work rolls for both shape control and free ruled rolling. Each of the work rolls has a tapered end. The curve of respective tapered end is a quartic curve represented by a formula y(x)=a0+a1x+a2x2+a3x3+a4x4, x?[0,Le], y(x)?[0,He]. It is possible to partially eliminate the asymmetric deformation due to the difference between abrasion of the upper and lower rolls. Further, closed type abrasion of conventional roll is changed into open type abrasion and box shaped abrasion of conventional roll is eliminated, which eliminating “cat ear” hole and fulfilling the requirements of free ruled rolling.

Abstract: An electronic device includes a base, a button module with a button movably received in the base from a lateral side of the base, a sliding block slidably mounted in the base, and an elastic positioning member. The sliding block defines a first securing slot and a second securing slot.

Abstract: Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression over the ring Z of integer numbers or the ring Q of rational numbers. The levels of the radical are grouped into a level permutation group that is used to find a level permutation set. An annihilation polynomial is found based upon the level permutation set. The annihilation polynomial is factored, and a selection mechanism selects the minimal polynomial based upon the annihilation polynomial's factors.

Abstract: A composition for binding FKBP proteins is disclosed, along with a method of treating conditions associated with neuronal degeneration, wherein said composition comprises a compound of formula I, wherein, R, R1, R2, R3 and X are as defined herein.

Abstract: Described is a technology, such as implemented in a computational software program, by which a minimal polynomial is efficiently determined for a radical expression based upon its structure of the radical expression. An annihilation polynomial is found based upon levels of the radical to obtain roots of the radical. A numerical method performs a zero test or multiple zero tests to find the minimal polynomial. In one implementation, the set of roots corresponding to a radical expression is found. The annihilation polynomial is computed by grouping roots of the set according to their conjugation relationship and multiplying factor polynomials level by level. A selection mechanism selects the minimal polynomial based upon the annihilation polynomial's factors.